Captain Stokes says Anderson and Broad are eyeing next year's Ashes
Anderson and Broad were part of the side that suffered a 4-0 defeat in Australia in the last Ashes before both were omitted from the three-match series in West Indies where England lost 1-0.
But the veteran fast bowlers later returned to the squad and helped the team win five of their six tests this summer, with Anderson also becoming the leading wicket taker among pace bowlers across all formats.
"It's great to see Jimmy at 40 and Broady at 36 having a new lease of life in the dressing room and honestly I can't tell you when the end will be," Stokes said.
"We've got the Ashes coming up next summer and I'm pretty sure they have got their eyes set on that.
"I honestly just can't see a point where they decide it's time for them to step away," Stokes added.
The Ashes is expected to be held in June and July next year.
England are due to face South Africa in their Test series decider at The Oval later on Thursday.